๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

High accuracy finite difference scheme for three-dimensional microscale heat equation

โœ Scribed by Akil J. Harfash

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
192 KB
Volume
220
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A finite difference scheme for solving t
A finite difference scheme for solving the heat transport equation at the microscale
โœ Weizhong Dai; Raja Nassar ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 134 KB ๐Ÿ‘ 2 views

Heat transport at the microscale is of vital importance in microtechnology applications. In this study, we develop a finite difference scheme of the Crank-Nicholson type by introducing an intermediate function for the heat transport equation at the microscale. It is shown by the discrete energy meth

Unconditionally Stable Finite Difference
Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation
โœ Jun Zhang; Jennifer J. Zhao ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 105 KB

A two-dimensional time-dependent heat transport equation at the microscale is derived. A second order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational procedure is designed to solve the discretize

An explicit fourth-order compact finite
An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
โœ Zhang, Jun ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 141 KB ๐Ÿ‘ 2 views

We present an explicit fourth-order compact ยฎnite dierence scheme for approximating the threedimensional convectionยฑdiusion equation with variable coecients. This 19-point formula is deยฎned on a uniform cubic grid. We compare the advantages and implementation costs of the new scheme with the standar